and many more benefits!

GMAT Club Timer Informer

Hi GMATClubber!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Hide Tags

Two mail sorters, P and Q, work at constant rates. If P can sort x le
[#permalink]

Show Tags

22 Feb 2018, 20:01

1

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

90%(01:12) correct 10%(01:54) wrong based on 65 sessions

HideShow timer Statistics

Two mail sorters, P and Q, work at constant rates. If P can sort x letters in 60 minutes and Q can sort x letters in 30 minutes, how long will it take (expressed in minutes) for both sorters, working together but independently, to sort x letters?

Two mail sorters, P and Q, work at constant rates. If P can sort x le
[#permalink]

Show Tags

22 Feb 2018, 20:36

Bunuel wrote:

Two mail sorters, P and Q, work at constant rates. If P can sort x letters in 60 minutes and Q can sort x letters in 30 minutes, how long will it take (expressed in minutes) for both sorters, working together but independently, to sort x letters?

(A) 45

(B) 20

(C) 15

(D) 10

(E) 3

As P can sort x letters in 60 minutes, P will sort \(\frac{1}{60}\) letters in a minuteAs Q can sort x letters in 30 minutes, Q will sort \(\frac{1}{30}\) letters in a minute

Re: Two mail sorters, P and Q, work at constant rates. If P can sort x le
[#permalink]

Show Tags

22 Feb 2018, 23:39

1

Bunuel wrote:

Two mail sorters, P and Q, work at constant rates. If P can sort x letters in 60 minutes and Q can sort x letters in 30 minutes, how long will it take (expressed in minutes) for both sorters, working together but independently, to sort x letters?

(A) 45

(B) 20

(C) 15

(D) 10

(E) 3

Say P sorts 60 letters in 60 mins so 1 letter every min. Then Q sorts 2 letters every min. So together they sort 3 letters every min. To sort 60 letters, they will need 20 mins.

Answer (B)
_________________

KarishmaVeritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

Re: Two mail sorters, P and Q, work at constant rates. If P can sort x le
[#permalink]

Show Tags

23 Feb 2018, 00:46

Bunuel wrote:

Two mail sorters, P and Q, work at constant rates. If P can sort x letters in 60 minutes and Q can sort x letters in 30 minutes, how long will it take (expressed in minutes) for both sorters, working together but independently, to sort x letters?